| 数量曲率、截面曲率及其应用 |
| |
| 引用本文： | 徐沈新,吴金文.数量曲率、截面曲率及其应用[J].电力科学与技术学报,2004,19(1):8-10. |
| |
| 作者姓名： | 徐沈新 吴金文 |
| |
| 作者单位： | 保险职业学院,湖南,长沙,410114;保险职业学院,湖南,长沙,410114 |
| |
| 摘 要： | 利用数量曲率与第二基本形式长度之间的一个不等式关系,证明了其子流形的截面曲率一定非负(或者为正),并将此应用到紧致子流形上,得到一些结果.
|
| 关 键 词： | 数量曲率 截面曲率 第二基本形式 平行法向量场 极小子流形 |
Scalar Curvature, Sectional Curvature and Its Application |
| |
| Abstract.Scalar Curvature, Sectional Curvature and Its Application[J].JOurnal of Electric Power Science And Technology,2004,19(1):8-10. |
| |
| Authors: | Abstract |
| |
| Abstract: | By using an inequality relation between a scalar curvature and the length of the second fundamental form,it is proved that sectional curvatures of a submanifold must be nonnegative(or positive).Some results can be obtained with its application to compact submanifolds. |
| |
| Keywords: | scalar curvature sectional curvature the second fundamental form parallel normal vector field minimal submanifold |
| 本文献已被 万方数据 等数据库收录！ |
|
